Pith Number

pith:MG7EYLIP

pith:2011:MG7EYLIP452E6ASECA723CB3GL

not attested not anchored not stored refs pending

On cubic action of a rank one group

Matthias Gr\"uninger

arxiv:1106.2310 v3 · 2011-06-12 · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MG7EYLIP452E6ASECA723CB3GL}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:11:52.124285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61be4c2d0fe7744f0244103fad883b32dee7c3e651e322896c6c299442174648

Aliases

arxiv: 1106.2310 · arxiv_version: 1106.2310v3 · doi: 10.48550/arxiv.1106.2310 · pith_short_12: MG7EYLIP452E · pith_short_16: MG7EYLIP452E6ASE · pith_short_8: MG7EYLIP

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/MG7EYLIP452E6ASECA723CB3GL \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 61be4c2d0fe7744f0244103fad883b32dee7c3e651e322896c6c299442174648

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62f04881276f8da8e3dfb58dba44f7eaeefefa57357e248b67429c7c5059d376",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-06-12T13:37:53Z",
    "title_canon_sha256": "2a0c327a6050e38c87e166dd2c0bee02e774bcc2375bfdda13e497e5425903b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2310",
    "kind": "arxiv",
    "version": 3
  }
}